Limits
lim x→−3 (x^2-x-12)/(x+3)
What is -7
Find the derivative of the function: g(x)= 3xsin(x)-xcosx
What is 3sinx+3xcosx
Integrate: ∫3e^3x dx
What is e^3x + C
Write the equation of the line tangent to y=x^3 - 2x^2 + 2 at (2,2).
What is y=4x-6
Find the limit of ((2+h)^2 - 4)/ h as h->0
What is 4
Find the derivative of the function: y= (3x+4)^9
What is y'=27(3x+4)^8
∫ sin x dx
What is -cosx +C
∫ -3x^2 dx
What is -x^3 +c
Find the limit of (3- √t)/ (9 - t) as t->9
What is 1/6
Find the derivative of y= (2x^2 +5) ^7
What is y'=28x(2x^2 +5)^6
Integrate: (-8x)/(2x^2 + 3) ^2 from -3 to 0.
What is 4/7
Find the limit of (e^x - e^-x)/x as x --> 0
What is 2
lim (1/w - 1/2 )/(w-2) as w->2
What is -1/4
Find the derivative y=.5x^4 + 3x^(5/3) + 2x
Integrate: ∫e^(2x-2) dx from -1 to 1
What is (e^4 - 1 ) 2e^4
Two cars leave from the same position at the same time. One travels due North at 30 mph, while the other travels due East at 40 mph. At what rate is the distance between the cars changing after 1 hour?
The distance between the cars is changing at a rate of 50 mph.
lim (cos [3pi/2 + x]- cos[3pi/2] )/ x as x->0
What is 1
Find the derivative of the function: y= cos [x/3]
What is y'= -(1/3)sin (x/3)
What is the derivative of y= 1/(2x+3)
What is 2ln(2x+3)
Integrate: ∫ 3x^4 - 2x^3 + x -1 dx from -2 to 2
What is 34.4
A spherical balloon is inflated at a rate of 100 cm3/sec. How fast is the radius changing when the diameter of the balloon is 50 cm? (Volume of a sphere: V = 4/3πr^3)
What is 1/25π